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Start date: 2020Type: search.filters.itemtype.Conference PaperAuthor: search.filters.author.Ashyralyev, AllaberenAuthor: search.filters.author.Ashyralyyev, CharyyarAuthor: search.filters.author.Mu’azu, Sa’Adu Bello

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    Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions
    (American Institute of Physics Inc., 2024) Ashyralyev, Allaberen; Mu’azu, Sa’Adu Bello; Ashyralyyev, Charyyar; Ashyralyev, A.; Ashyralyev, A.; Ashyralyyev, C.; Ashyralyyev, C.; Erdogan, A.S.; Sadybekov, M.; Ashyralyev, Allaberen, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, RUDN University, Moscow, Russian Federation, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Mu’azu, Sa’Adu Bello, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus; Ashyralyyev, Charyyar, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
    In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method. © 2024 Elsevier B.V., All rights reserved.